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Normal Distribution · Question 37 of 68

Question 37

MediumOriginal question

Given P(0<Z<0.4)=0.1554P(0 < Z < 0.4) = 0.1554 and P(0<Z<2.4)=0.4918P(0 < Z < 2.4) = 0.4918, what is P(0.4<Z<2.4)P(0.4 < Z < 2.4)?

Options for question 37

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Both z-values are right of 0: subtract the smaller area from the larger.

  2. 0.4918−0.1554=0.33640.4918 - 0.1554 = 0.3364.

Worth noting

0.6472 adds the areas, as if the z-values were on opposite sides of 0.

Concept
The area between two positive z-values
Typical time
90 s
Your time
—
The rule this testsAreas under the curve
Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.